MATHEMATICS HIGH SCHOOL

Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Answer 1
Answer:

Answer:

see step by step explanation

Step-by-step explanation:

part a: x=1/72  because there are 72 x's in the one so 1/72

part b: x=1/70 because there are 70 x in 1 so x = 1/70
Answer 2
Answer:

Answer:

(7^2)^0

Step-by-step explanation:

The Zero rule property states that anytime you multiple an exponent by 0 it always equals 1. So, if you multiply the equation by 0 it will equal one.

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What is the midpoint of the segment joining (12,2) and (-5,-7)

Answers

To find midpoint the fomula is
x1+x2/2,y1+y2/2

so the answere would be 12+(-5)/2 , 2+(-7)/2

so mid point would be (x,y) =(3.5,-2.5)

I hope this makes sense :)

In Juneau, Alaska, the 30-year annual snowfall average is 86.7 inches with a standard deviation of 40.4 inches. The last four years saw an average annual snowfall of 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make?a) The z-statistic is 1.44, so the null hypothesis cannot be rejected.
b) he z-statistic is 1.68, so the null hypothesis cannot be rejected.
c) The z-statistic is 1.85, so the null hypothesis should be rejected.
d) The z-statistic is 4.6, so the null hypothesis should be rejected.

Answers

The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years. Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches. Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches. To compute for the z-score, we have z-score = (x – μ) / (σ / √n) where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples. Using the information we have, z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68 In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05. Therefore, the answer is B.

Answer:

its B

Step-by-step explanation:

If the volume for 3-D polyhedra A is 300 cm3 and the volume for 3-D polyhedral B is 900 cm3. How many times bigger is the volume of pyramid B than pyramid A? Select one:
a. 3%
b. 30%
c. 300%
d. 3000%

Answers

Answer:

c. 300%

Step-by-step explanation:

In order to solve this problem you just have to divide the bigger polyhedral by the smaller polyhedral:

(900 cm^(3) )/(300cm^(3))

As this is equal to 3, you know that the bigger polyhedral is 3 times bigger than the smaller polyhedral so now you just make a rule of three, if an object that is 100% bigger than other is 1 time bigger, what would be the percentage of an object that is 3 times bigger?

(1)/(100)=(3)/(x)

Once you clear the X the equation would look like this:

x=(3*100)/(1)

x=300
Hello Marie,

V(B)/V(A)=900/300=3=300/100=300%

5tanx-2cotx+1=0...... .

Answers

Step-by-step explanation:

5(tanx)^2 -2 +tanx=0

let tanx=y

5y^2 + y-2=0

y=0.5403 or y= -0.7403

tanx=0.5403

x=arctan(0.5403)

x=28.38°

or

tanx=-0.7403

x=arctan(-0.7403)

x=143.49°

How many pairs of parallel lines does a triangle have

Answers

Base on the question, the possible pairs of parallel lines that the triangle has, is none. Its because the said polygon has only 3 sides that are impossible to have a pair of parallel lines. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification about the question 

You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip. Express the total time required to complete the round​ trip, T, as a function of the average velocity on the outgoing​ trip, x.

Answers

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

          420=t_1* x\n\nt_1=(420)/(x)

Distance to vacation place = Time for return trip x average velocity of return trip

          420=t_2* (x-15)\n\nt_2=(420)/((x-15))  

We have total time T = t₁ + t₂

That is

                     T=(420)/(x)+(420)/((x-15))

Time required to complete the round​ trip T=(420)/(x)+(420)/((x-15)) where x is average velocity on the outgoing​ trip.
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